Science | AAAS
6 days ago · The strength of Science and its online journal sites rests with the strengths of its community of authors, who provide cutting-edge research, incisive scientific commentary, and insights on what’s …
6 days ago · The strength of Science and its online journal sites rests with the strengths of its community of authors, who provide cutting-edge research, incisive scientific commentary, and insights on what’s …
For any graded poset $P$, we define a new graded poset, $\mathcal E(P)$, whose elements are the edges in the Hasse diagram of P. For any group, $G$, acting on the boolean algebra, $B_n$, we conjecture that $\mathcal E(B_n/G)$ is Peck. We prove that t...
Given an undirected graph $G = (V, E)$, and a vertex $r\in V$, an $r$-acyclic orientation of $G$ is an orientation $OE$ of the edges of $G$ such that the digraph $OG = (V, OE)$ is acyclic and $r$ is the unique vertex with indegree equal to 0. For $w\...
NGC 891 (also known as Caldwell 23, the Silver Sliver Galaxy, and the Outer Limits Galaxy) is an edge-on unbarred spiral galaxy about 30 million light-years
We consider the problem of assigning short labels to the vertices and edges of a graph $G$ so that given any query $\langle s,t,F\rangle$ with $|F|\leq f$, we can determine whether $s$ and $t$ are still connected in $G-F$, given only the labels of $F...
Let $G=(V,E)$ be a graph with $n$ vertices and $m$ edges, with a designated set of $σ$ sources $S\subseteq V$. The fault tolerant subgraph for any graph problem maintains a sparse subgraph $H$ of $G$, such that for any set $F$ of $k$ failures, the s...
Unfortunately, there are different ways of dealing with XPath in different browsers. Chrome, Firefox, Edge, Opera, and Safari use the evaluate () method to select nodes:
The game of Hex has two players who take turns placing stones of their respective colors on the hexagons of a rhombus-shaped hexagonal grid. Black wins by completing a crossing between two opposite edges, while White wins by completing a crossing b...
In large scale smart edge networks, computation resource is generally underutilized due to the uneven distribution of computation resource in time and space domain. This may correspond to a simple fact that no device is capable for 'storing' and 'exc...
The Prague dimension of graphs was introduced by Nesetril, Pultr and Rodl in the 1970s. Proving a conjecture of Furedi and Kantor, we show that the Prague dimension of the binomial random graph is typically of order n/log n for constant edge-probabil...
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The Closet Cabinet of Billie Joe By Caleb Voss Part I: Origin Of The Cabinet In the far corner of an aging Victorian house nestled into the fog-choked edges of the Berkeley Hills, Billie Joe Armst...
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The COVID-19 crisis has demonstrated the potential of cutting-edge genomics research. However, privacy of these sensitive pieces of information is an area of significant concern for genomics researchers. The current security models makes it difficult...
With the growing popularity of BitCoin in the last couple of years, other blockchains have been in development for solving various problems that need distributed consensus. Ethereum blockchain is one example, that gives users to develop "smart contracts" that…
Set-based learning is an essential component of modern deep learning and network science. Graph Neural Networks (GNNs) and their edge-free counterparts Deepsets have proven remarkably useful on ragged and topologically challenging datasets. The key t...
AI-powered search engines like ChatGPT, Perplexity, and Claude has transformed how users access information. For businesses aiming to maintain a competitive edge, ensuring visibility within these AI-d...
Third-party libraries (TPLs) have been widely used in mobile apps, which play an essential part in the entire Android ecosystem. However, TPL is a double-edged sword. On the one hand, it can ease the development of mobile apps. On the other hand, it...